Q. A completes a work in 24 days. After working for 8 days, what fraction of the work is left?

  • (A) 1/3
  • (B) 2/3
  • (C) 3/4
  • (D) 1/4
πŸ“ Notes
βœ… Correct Answer: (B) 2/3
Explanation: Completed = 8/24 = 1/3. Remaining = 2/3.

Q. A can complete 3/4 of a work in 15 days. In how many days can he complete the whole work?

  • (A) 18 days
  • (B) 20 days
  • (C) 22 days
  • (D) 24 days
πŸ“ Notes
βœ… Correct Answer: (B) 20 days
Explanation: Whole work = 15 × 4/3 = 20 days.

Q. A can complete a work in 14 days and B in 7 days. Together they will complete the work in:

  • (A) 4 days
  • (B) 4β…” days
  • (C) 5 days
  • (D) 5β…“ days
πŸ“ Notes
βœ… Correct Answer: (B) 4β…” days
Explanation: Combined rate = 1/14 + 1/7 = 3/14. Time = 14/3 = 4β…” days.

Q. A and B together complete a work in 15 days. If B alone takes 30 days, A alone will take:

  • (A) 20 days
  • (B) 25 days
  • (C) 30 days
  • (D) 45 days
πŸ“ Notes
βœ… Correct Answer: (C) 30 days
Explanation: A's rate = 1/15 − 1/30 = 1/30. Hence A takes 30 days.

Q. A can complete a work in 48 days while B can complete it in 16 days. If they work together for 8 days, what fraction of the work remains?

  • (A) 1/6
  • (B) 1/3
  • (C) 1/2
  • (D) 2/3
πŸ“ Notes
βœ… Correct Answer: (B) 1/3
Explanation: Combined rate = 1/48 + 1/16 = 1/12. In 8 days completed = 2/3. Remaining = 1/3.

Q. A can complete a work in 9 days. B is 80% as efficient as A. In how many days can B complete the work?

  • (A) 10 days
  • (B) 11.25 days
  • (C) 12 days
  • (D) 13.5 days
πŸ“ Notes
βœ… Correct Answer: (B) 11.25 days
Explanation: B's efficiency = 80% of A. Time = 9/0.8 = 11.25 days.

Q. A can complete a work in 50 days and B in 25 days. Their one-day work together is:

  • (A) 2/25
  • (B) 3/50
  • (C) 1/20
  • (D) 1/15
πŸ“ Notes
βœ… Correct Answer: (B) 3/50
Explanation: Combined rate = 1/50 + 1/25 = 3/50.

Q. A completes a work in 6 days while B completes it in 12 days. Working together, they will complete 3/4 of the work in:

  • (A) 2 days
  • (B) 3 days
  • (C) 4 days
  • (D) 5 days
πŸ“ Notes
βœ… Correct Answer: (B) 3 days
Explanation: Combined rate = 1/4. Time for 3/4 work = (3/4) ÷ (1/4) = 3 days.

Q. A can complete a work in 11 days and B in 22 days. In how many days will they complete the work together?

  • (A) 6 days
  • (B) 7 days
  • (C) 7β…“ days
  • (D) 8 days
πŸ“ Notes
βœ… Correct Answer: (C) 7β…“ days
Explanation: Combined rate = 3/22. Time = 22/3 = 7β…“ days.

Q. A can complete 5/8 of a work in 20 days. How many days are required to complete the entire work?

  • (A) 24 days
  • (B) 28 days
  • (C) 30 days
  • (D) 32 days
πŸ“ Notes
βœ… Correct Answer: (D) 32 days
Explanation: Whole work = 20 × 8/5 = 32 days.

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